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Finding the Fourth Proportional to 11,932.90, 16,460.04 and 7,682.56

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Solution

The fourth proportional to 11,932.90, 16,460.04 and 7,682.56 is: 10,597.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,932.90 : 16,460.04 = 7,682.56 : x
  2. Step 2: Convert to fraction form
    11,932.90/16,460.04 = 7,682.56/x
  3. Step 3: Cross multiply
    11,932.90x = 16,460.04 × 7,682.56
  4. Step 4: Simplify right side
    11,932.90x = 126,455,244.90
  5. Step 5: Solve for x
    x = 126,455,244.90/11,932.90
  6. Step 6: Final answer
    x = 10,597.19

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.